Rice, who served under President Obama's administration, had earlier tweeted "Me" when responding to another tweet from former White House Communications Director Jen Psaki asking, "who wants to run for Senate in Maine? there will be an army of supporters with you."

But Rice later sought to clarify her initial tweet, expressing thanks but noting she was not making any announcements.

Many thanks for the encourgement. I’m not making any announcements. Like so many Americans, I am deeply disappointed in Senator Collins’ vote for Kavanaugh. Maine and America deserve better. https://t.co/6oGFTFuO1Q

The comments from Rice came just moments after Collins announced on the Senate floor that she would vote "yes" on Kavanaugh, a move that gave the judge the necessary votes for confirmation.

"Despite the turbulent, bitter fight surrounding his nomination, my fervent hope is that Brett Kavanaugh will work to lessen the divisions in the Supreme Court so that we have far fewer 5-4 decisions and so that public confidence in our judiciary and our highest court is restored," Collins said during her speech.

The vote will take place more than a week after Kavanaugh and Christine Blasey Ford testified before the Senate Judiciary Committee regarding Ford's claims that he sexually assaulted her at a high school party in the 1980's.

Kavanaugh has fiercely denied the accusation. He's also aggressively pushed back against sexual misconduct claims from two other women, Deborah Ramirez and Julie Swetnick.